51270400 has 54 divisors (see below), whose sum is σ = 126918092. Its totient is φ = 20505600.

The previous prime is 51270397. The next prime is 51270403. The reversal of 51270400 is 407215.

It is an interprime number because it is at equal distance from previous prime (51270397) and next prime (51270403).

It is not an unprimeable number, because it can be changed into a prime (51270403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2395 + ... + 10405.

Almost surely, 2^51270400 is an apocalyptic number.

51270400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63459046).

51270400 is an abundant number, since it is smaller than the sum of its proper divisors (75647692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51270400 is an equidigital number, since it uses as much as digits as its factorization.

51270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 51270400 is about 7160.3351876850. The cubic root of 51270400 is about 371.4972203346.

Adding to 51270400 its reverse (407215), we get a palindrome (51677615).

The spelling of 51270400 in words is "fifty-one million, two hundred seventy thousand, four hundred".